Add 45/56 and 30/54
45/56 + 30/54 is 685/504.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 54 is 1512
Next, find the equivalent fraction of both fractional numbers with denominator 1512 - For the 1st fraction, since 56 × 27 = 1512,
45/56 = 45 × 27/56 × 27 = 1215/1512 - Likewise, for the 2nd fraction, since 54 × 28 = 1512,
30/54 = 30 × 28/54 × 28 = 840/1512 - Add the two like fractions:
1215/1512 + 840/1512 = 1215 + 840/1512 = 2055/1512 - 2055/1512 simplified gives 685/504
- So, 45/56 + 30/54 = 685/504
In mixed form: 1181/504
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